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Finding the Third Proportional to 200,784 and 436,548

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Solution

The third proportional to 200,784 and 436,548 is: 949,150.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,784 : 436,548 = 436,548 : x
  2. Step 2: Convert to fraction form
    200,784/436,548 = 436,548/x
  3. Step 3: Cross multiply
    200,784x = 436,548 × 436,548
  4. Step 4: Simplify right side
    200,784x = 190,574,156,304
  5. Step 5: Solve for x
    x = 190,574,156,304/200,784
  6. Step 6: Final answer
    x = 949,150.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.